A study was conducted on a sample of 243 trainee teachers from the Faculty of Education, University of Agriculture, Malaysia. They represented about 20% of the population of students taking the course, "Teaching Practice and Practicum Counselling' offered by the Faculty of Education, University of Agriculture, Malaysia for the 1986/1987 session. One hundred and twenty six trainees were females and 117 trainees male. According to their respective programmes of study, 35 trainees were from Bachelor of Science with Education, 78 traineeswere from Diploma in Science with Education, 65 from Bachelor of Education (Teaching of Bahasa Malaysia as First Language) and 65 trainees were from Bacelor of Education (Teaching of English as Second Language). The views perceived by teacher trainees as to what were the important criteria for the conduct of beneficial teaching supervision is reported. The analyses revealed three broad dimensions for the conduct of supervision viz knowledge of teaching-learning methods, skills in supervision, interests in professional development of teacher trainees. The McQuity s Similarity Analysis Technique was used to extract 3 clusters of supervision criteria from the relationships expressed by correlation coefficients. A specifically designed questionnaire was used to collect the data.